rational expression , need to show the domain the excluded value,set , the factor and the real numbers

Question

x²–36

  3x

 

7w-2

16w²-1

Answer 1

(x²-36) / (3x) = (x+6)(x-6) / 3x

Domain is all real numbers except x= 0    (-∞,0)U(0,∞)

 

(7w-2)/(16w2-1) = (7w-2) / (4w+1)(4w-1) 

Domain is all real numbers except x = -1/4 and +1/4       (-∞,-1/4)U(-1/4,1/4)U(1/4,∞)